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Willmore tori in a wide family of conformal structures on odd dimensional spheres

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Publication:5928709
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DOI10.1216/rmjm/1021477244zbMath0991.53038OpenAlexW2086008685MaRDI QIDQ5928709

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Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-3/CONT30-3/CONT30-3.html


zbMATH Keywords

torus immersionWillmore surfaces


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Variational problems in infinite-dimensional spaces (58E99)


Related Items

On Willmore surfaces in 𝑆ⁿ of flat normal bundle



Cites Work

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  • The total squared curvature of closed curves
  • Hopf tori in \(S^ 3\)
  • Hopf submanifolds in \(S^7\) which are Willmore-Chen submanifolds
  • Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres
  • Stationary 2-type surfaces in a hypersphere
  • Reduction of variables for Willmore-Chen submanifolds in seven spheres
  • Minimal immersions of Riemannian manifolds
  • Curves in the Hyperbolic Plane and mean Curvature of Tori in 3-Space
  • Knotted Elastic Curves in R 3
  • Willmore tori in non-standard 3-spheres
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